Greatest Common Factor of 240/417, 7031/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 240/417, 7031/354

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 240/417,7031/354

Given fractions are 240/417,7031/354

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 240,7031

Greatest Common Factor of Numerators i.e. GCF of 240,7031 is 1 .

LCM of Denominators means LCM of 417,354 as per the given fractions.

LCM of 417,354 is 49206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 240,7031

GCF of Fractions 240/417,7031/354 is 1/49206

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 240,7031 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,7031 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 7031

List of positive integer factors of 7031 that divides 7031 without a remainder.

1,79,89,7031

Greatest Common Factor

We found the factors 240,7031 . The biggest common factor number is the GCF number.
So the greatest common factor 240,7031 is 1.

Lets's calculate LCM of 417,354

3 417, 354
139, 118

∴ So the LCM of the given numbers is 3 x 139 x 118 = 49206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49206

Therefore, the GCF of Fractions 240/417,7031/354 is 1/49206

Least Common Multiple of 417,354 with GCF Formula

Least Common Multiple of 417,354 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 417,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,354) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(417,354) x common factors =3 x 1 = 3

LCM(417,354) = ( 417 × 354 ) / 3

LCM(417,354) = 147618 / 3

LCM(417,354) = 49206


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 240/417, 7031/354

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 240/417, 7031/354?

Answer: GCF of Numerators as per given numbers 240/417, 7031/354 is

GCF of Numerators i.e. for 240,7031 is 1

LCM of denominators i.e. for 417,354 is 49206.

Thus, GCF of Fractions is 1/49206.Finally, GCF of Fractions for 240/417, 7031/354 is 1/49206.